What is the Greatest Common Factor of 71296 and 71313?

Greatest common factor (GCF) of 71296 and 71313 is 1.

GCF(71296,71313) = 1

We will now calculate the prime factors of 71296 and 71313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71296 and 71313.

How to find the GCF of 71296 and 71313?

We will first find the prime factorization of 71296 and 71313. After we will calculate the factors of 71296 and 71313 and find the biggest common factor number .

Step-1: Prime Factorization of 71296

Prime factors of 71296 are 2, 557. Prime factorization of 71296 in exponential form is:

71296 = 2⁷ × 557¹

Step-2: Prime Factorization of 71313

Prime factors of 71313 are 3, 11, 2161. Prime factorization of 71313 in exponential form is:

71313 = 3¹ × 11¹ × 2161¹

Step-3: Factors of 71296

List of positive integer factors of 71296 that divides 71296 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 557, 1114, 2228, 4456, 8912, 17824, 35648

Step-4: Factors of 71313

List of positive integer factors of 71313 that divides 71296 without a remainder.

1, 3, 11, 33, 2161, 6483, 23771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71296 and 71313. The biggest common factor number is the GCF number.
So the greatest common factor 71296 and 71313 is 1.

Also check out the Least Common Multiple of 71296 and 71313